# Courses

**Mathematics Courses: **Undergraduate | Graduate Courses **Statistics Courses: **Undergraduate | Graduate Courses

**Undergraduate | Graduate Courses**

Actuarial Science Courses:

Actuarial Science Courses:

- Undergraduate Course Offerings Fall 2011 - Summer 2013
- Graduate Course Offerings Fall 2012 - Summer 2015
- Graduate Course Offerings Summer 2015 - Fall 2017

## Mathematics Courses

**MATH 1000 - Essentials of Mathematics**

3 credit hours

The practices of learning mathematics. Required for students whose ACT Mathematics score is 15-16 or whose mathematics assessment indicates placement. Emphasis on problem solving, critical thinking, math study skills, and solving and graphing linear equations and inequalities. Course will meet for three hours in the classroom and will have a required two-hour lab component, which will include structured online activities. Does not fulfill General Education Mathematics requirement.

**MATH 1010 - Mathematics for General Studies**

3 credit hours

Prerequisites: Two years of high school algebra and a Math Enhanced ACT of at least 19 or DSPM 0850 or COMPASS placement. Course satisfies the General Education Mathematics requirement and is also part of the mathematics sequence for students preparing to become elementary school teachers. Topics include logic, sets, algebraic reasoning, probability, statistics, and consumer mathematics. TBR Common Course: MATH 1010

**MATH 1020 - Mathematics Colloquium**

1 credit hour

Introduces new mathematical sciences students to the mathematics major. Topics include degree requirements, faculty resources, technological resources, research opportunities, and career options. About half of the meetings will involve one hour in-class lectures and activities, and half will involve attending talks, some of which may occur outside the scheduled class meeting time.

**MATH 1410 - Concepts and Structure of Elementary School Mathematics**

3 credit hours

Prerequisites: Two years of high school algebra and a Math Enhanced ACT of at least 19 or DSPM 0850 or COMPASS placement. Algebra-based study of school mathematics in keeping with the recommendations of the National Council of Teachers of Mathematics. Tools for problem solving, set theory, functions, number theory, and examinations of number systems from counting numbers to irrational numbers. TBR Common Course: MATH 1410

**MATH 1420 - Informal Geometry**

3 credit hours

Prerequisite: A grade of C or better in MATH 1410. Geometry-based study of school mathematics in keeping with the recommendations of the National Council of Teachers of Mathematics. Studies of plane, solid, coordinate, and motion geometry as well as constructions, congruence, similarity, and concepts of measurement. A variety of instructional technology tools investigated. TBR Common Course: MATH 1420

**MATH 1530 - Applied Statistics**

3 credit hours

Prerequisites: Two years of high school algebra and a Math Enhanced ACT 19 or greater or equivalent. Descriptive statistics, probability, and statistical inference. The inference unit covers means, proportions, and variances for one and two samples, and topics from one-way ANOVA, regression and correlation analysis, chi-square analysis, and nonparametrics. TBR Common Course: MATH 1530

**MATH 1630 - College Mathematics for Managerial, Social, and Life Sc**

3 credit hours

Prerequisites: Two years of high school algebra and a Math Enhanced ACT greater than 25 or MATH 1710. Topics include solving systems of linear equations, Leontief models, linear programming, mathematics of finance, set theory, and probability theory. TBR Common Course: MATH 1630

**MATH 1710 - College Algebra**

3 credit hours

Prerequisite: DSPM 0850 or two years of high school algebra; a Math Enhanced ACT 19 or greater or COMPASS placement. Course satisfies the General Education Mathematics requirement. Topics include functions--linear, quadratic, exponential, and logarithmic; analysis of graphs; linear systems; inequalities; counting principles; and probability. Graphing calculator required. Course may be taken by correspondence. Not open to those who have had MATH 1730. TBR Common Course: MATH 1710

**MATH 1720 - Plane Trigonometry**

3 credit hours

Prerequisite: Strong background in algebra recommended. Trigonometric functions of the acute and general angle, circular functions, graphs of trigonometric and inverse functions, identities, solutions of right and general triangles, equations, complex numbers, and vectors. Not open to those who have had MATH 1730. Graphing calculator required.

**MATH 1730 - Pre-Calculus**

4 credit hours

Prerequisite: MATH 1710 or successful completion of high school precalculus course. An integrated and rigorous study of the algebra and trigonometry needed to successfully attempt calculus. Emphasis on functions, their analysis and their applications. Level of algebraic sophistication developed above that found in MATH 1710. Topics include exponentials and logarithms, analysis of graphs, and word problems. Graphing calculator required. TBR Common Course: MATH 1730

**MATH 1810 - Applied Calculus I**

3 credit hours

Prerequisite: MATH Enhanced ACT 19 or greater or MATH 1710. Introduces mathematical modeling applied to real-world problems. Sets, functions, inverse models, limits, continuity, first and second order model building, single variable differentiation, implicit differentiation, inverse problems (exponential and log models). First and second derivatives used to study the behavior of real-world applications.

**MATH 1910 - Calculus I**

4 credit hours

Prerequisite: MATH 1730 with a grade of C or better or Math ACT of 26 or better or satisfactory score on Calculus placement test. An introduction to calculus with an emphasis on analysis of functions, multidisciplinary applications of calculus, and theoretical understanding of differentiation and integration. Topics include the definition of the derivative, differentiation techniques, and applications of the derivative. Calculus topics related to trigonometric, exponential, and logarithmic functions also included. Course concludes with the fundamental theorem of calculus; the definition of antidifferentiation and the definite integral; basic applications of integrations; and introductory techniques of integration. Graphing calculator required. TBR Common Course: MATH 1910

**MATH 1920 - Calculus II**

4 credit hours

Prerequisite: MATH 1910 with C (2.00) or better. A topics course providing a wide view of different techniques and applications of calculus in the plane. Techniques of integration and applications of integration fully developed. Power series and Taylor series included. Emphasis on multidisciplinary applications includes Taylor series approximation; applications of integration to physics, biology, and business; and geometric and power series applications. Graphing calculator required. TBR Common Course: MATH 1920

**MATH 2010 - Elements of Linear Algebra**

3 credit hours

Prerequisite: MATH 1910. Vectors and vector spaces, matrices and systems of linear equations, geometry of vector spaces and linear transformations in a vector space.

**MATH 2050 - Probability and Statistics**

3 credit hours

Prerequisite: Calculus I. Data analysis, probability, and statistical inference. The inference material covers means, proportions, and variances for one and two samples, one-way ANOVA, regression and correlation, and chi-square analysis. TBR Common Course: MATH 2050

**MATH 2110 - Data Analysis**

1 credit hour

Prerequisite or corequisite: MATH 1530 or MATH 2050 or equivalent. Using computer software for graphing and analysis of scientific and statistical data.

**MATH 2530 - Applied Statistics II**

3 credit hours

Prerequisite: MATH 1530 or MATH 2050 or equivalent. Explores the application of the following statistical methods: analysis of variance, simple and multiple regression models, categorical data analysis, and nonparametric methods. Three hours lecture per week.

**MATH 2930 - Cooperative Education**

1 to 3 credit hours

Experiential learning that occurs in real employment situations. Must be taken in sequence or approved by the director of Cooperative Education. Graded on a pass/fail basis.

**MATH 2940 - Cooperative Education**

1 to 3 credit hours

Experiential learning that occurs in real employment situations. Must be taken in sequence or approved by the director of Cooperative Education. Graded on a pass/fail basis.

**MATH 3070 - College Geometry**

3 credit hours

Prerequisite: MATH 3460. Advanced treatment of standard topics in Euclidean geometry using informal and axiomatic approaches. Includes proofmaking techniques, traditional and transformational geometry, finite geometries, and a brief introduction to other geometries.

**MATH 3080 - Discrete Structures**

3 credit hours

(Same as CSCI 3080.) Prerequisites: CSCI 1170 and MATH 1910 or consent of instructor. Topics include formal logic, proof techniques, matrices, graphs, formal grammars, finite state machines, Turing machines, and binary coding schemes.

**MATH 3110 - Calculus III**

4 credit hours

Prerequisite: MATH 1920. Adjusts calculus techniques developed in the plane (Calculus I and II) to make them applicable in three-dimensional space. Introductory study of the nature of three-dimensional space and definition of the algebraic calculations in three-dimensional space. Differential and integral calculus definitions and techniques revised to appropriately transfer into this new space. Topics include multivariate functions, partial differentiation, partial integration, multiple integration, and multidisciplinary applications.

**MATH 3120 - Differential Equations I**

3 credit hours

Prerequisite: MATH 1920. The solution and application of ordinary differential equations with emphasis on first order equations, second order linear equations, Laplace Transform method, systems of differential equations, and numerical methods.

**MATH 3180 - Introduction to Numerical Analysis**

3 credit hours

(Same as CSCI 3180.) Prerequisites: MATH 1910 and CSCI 1170. Topics include series approximation, finite differences, interpolation, summation, numerical differentiation and integration, iteration, curve fitting, systems of equations and matrices, and error analysis.

**MATH 3260 - Differential Equations II**

3 credit hours

Prerequisite: MATH 3120. A continuation of MATH 3120 with emphasis on series solutions, method of Frobenius, orthogonal functions, equations of Bessel, Legendre, Gauss, Chebyshev; introduction to partial differential equations.

**MATH 3300 - Discrete Mathematics for Middle Grades Teachers**

3 credit hours

Prerequisites: MATH 1410, MATH 1420, and MATH 1730. Supports the development of prospective middle grades teachers' knowledge of discrete mathematics. Topics include set theoretic topics, logic, counting, probability, graph theoretic topics. Focuses on students' learning discrete mathematics topics as well as the teaching of related mathematical topics to middle grades students. Field experience in a nearby middle school incorporated.

**MATH 3310 - Functions: Connecting Algebra and Geometry for Middle G**

3 credit hours

Prerequisites: MATH 1410, MATH 1420, and MATH 1730. Supports the development of prospective middle grades teachers' knowledge of functions and connections between algebra and geometry. Focuses on students connecting mathematics topics as well as the teaching of mathematical topics to middle grades students to support learning about the connected nature of mathematics. Field experience in a nearby middle school incorporated.

**MATH 3320 - Teaching Mathematics in the Middle Grades**

3 credit hours

Prerequisite: Admission to the teacher education program. Required of all Mathematics majors seeking a license to teach mathematics in grades 6-12 and all Interdisciplinary Studies (Grades 6-8) Math majors. In-depth study of mathematics learning and teaching strategies in middle school mathematics. Selected topics provide a foundation for student investigations into the conceptual nature of mathematics and applications in the middle school curriculum. Must be taken prior to student teaching.

**MATH 3330 - Teaching Mathematics in the Secondary Grades**

3 credit hours

Prerequisites: Admission to teacher education, completion of the mathematics core, and MATH 3320. Required of all Mathematics majors seeking a license to teach mathematics in grades 6-12 and all Interdisciplinary Studies (Grades 6-8) Math majors. In-depth study of mathematics learning and teaching strategies in secondary school mathematics. Selected topics provide a foundation for student investigations into the conceptual nature of mathematics and applications in the secondary school curriculum. Must be taken prior to student teaching.

**MATH 3340 - Statistics and Probability for Teaching**

3 credit hours

Prerequisite: MATH 1530 or MATH 2050 with a C or better. Supports the development of prospective middle grades and secondary teachers' knowledge of statistics and probability. Examines in greater depth statistics and probability topics to which the student has prior exposure; emphasizes the relevance and implications of these topics to the middle school and secondary classrooms. Attention will be given to exploratory data analysis, probability, statistical association, and simulation-based inference.

**MATH 3460 - Foundation of Higher Mathematics**

3 credit hours

Prerequisite: MATH 1920. The language of mathematics, set theory and proof, relations and functions, number systems, mathematical structures. Focuses on the transition from lower-division study to upper-division study by actively engaging the student in problem solving, mathematical reasoning, and both informal and technical writing.

**MATH 3970 - Cooperative Education**

1 to 3 credit hours

Experiential learning that occurs in real employment situations. Must be taken in sequence or approved by the director of Cooperative Education. Graded on a pass/fail basis.

**MATH 3980 - Cooperative Education**

1 to 3 credit hours

**MATH 4010 - Selected Topics in Elementary Mathematics**

3 credit hours

Prerequisites: MATH 1410, MATH 1420, and MATH 1730. Required of students who are preparing to teach grades 5-8. Examines in greater depth topics to which the student has prior exposure; emphasizes the relevance and implications of these topics to the middle school classroom.

**MATH 4200 - Introduction to Mathematics of Investment**

3 credit hours

(Same as ACSI 4200.) Prerequisite: MATH 1920 or consent of instructor. Calculus and probability/statistics used to model and analyze investments in bonds, treasury bills, stocks, and other derivatives. Topics include obtaining the price of a bond as a function of interest rate, developing formulas for duration and convexity to study the sensitivity of price to interest rate, and mathematical modeling of investor preference and attitude toward risk.

**MATH 4230 - Vector Analysis**

3 credit hours

Prerequisite: MATH 3110. A review of vector algebra and vector differentiation with emphasis on aspects of these topics not covered in previous calculus courses. Stress on line and surface integrals; Divergence Theorem and Stokes' theorem with generalizations and related topics.

**MATH 4250 - Theory of Calculus**

3 credit hours

Prerequisites: MATH 3110 and MATH 3460. Theoretical development of limits, continuity, differentiation, and integration in one dimension.

**MATH 4270 - Introduction to Topology**

3 credit hours

Prerequisites: MATH 3110 and MATH 3460. Fundamental concepts of topology including continuity, compactness, connectedness, separation axioms, and metric spaces.

**MATH 4280 - Undergraduate Research**

1 to 4 credit hours

Prerequisite: Permission of department. Independent investigation of a selected research problem under the guidance of a faculty member resulting in an oral and written report of results. May be repeated for a maximum of four credits.

**MATH 4310 - Numerical Analysis I**

3 credit hours

Prerequisites: CSCI 1170 and MATH 2010 or MATH 3180/CSCI 3180 or consent of instructor. Application of computer-oriented numerical algorithms to algebraic equations, differential and integral equations, and linear algebra. Rigorous mathematical treatment of error included.

**MATH 4320 - Numerical Analysis II**

3 credit hours

Prerequisite: MATH 4310. A continuation of MATH 4310.

**MATH 4420 - Number Theory**

3 credit hours

Prerequisite: MATH 3460. Divisibility, congruences, quadratic residues, Diophantine equations, quadratic forms, and continued fractions.

**MATH 4470 - Introduction to Modern Algebra**

3 credit hours

Prerequisite: MATH 3460. A treatment of sets, relations, operations, and the construction of number systems in algebra.

**MATH 4510 - Abstract Algebra I**

3 credit hours

Prerequisite: MATH 3460. An introduction to groups, with a brief introduction to rings, integral domains, and fields.

**MATH 4530 - Abstract Algebra II**

3 credit hours

Prerequisite: MATH 4510. The theory of rings, fields, integral domains, and vector spaces.

**MATH 4540 - Topics in Secondary School Mathematics**

3 credit hours

Prerequisites: Admission to teacher education; MATH 2010, MATH 2050, and MATH 3110. Required of all Mathematics majors seeking a license to teach mathematics in grades 7-12. Examines in greater depth topics to which the student has prior exposure; emphasizes the relevance and applications of these topics to the pre-college level classroom.

**MATH 4600 - Problems in Contemporary Mathematics**

1 to 6 credit hours

Pass/Fail grading in specified sections.

**MATH 4601 - Problems in Contemporary Mathematics Complex Variables**

3 credit hours

Prerequisite: MATH 3460. Fundamental principles and applications of complex variables.

**MATH 4602 - Problems in Mathematics**

1 to 6 credit hours

Prerequisite: Consent of instructor. Problem-oriented course providing opportunities for mathematical study in areas of need.

**MATH 4620 - History and Philosophy of Mathematics**

3 credit hours

Prerequisite: MATH 3460. Background in geometry and number theory helpful. The character of mathematical thought by way of mathematical problems that have occupied the outstanding mathematicians of Babylon, Egypt, Greece, China, the Renaissance, and modern times paralleled with a study of three schools of mathematical philosophy: intuitionism, logicism, and formalism.

**MATH 4700 - Combinatorics and Graph Theory**

3 credit hours

Prerequisites: MATH 2010 and MATH 3460. Selected topics in combinatorics and graph theory emphasizing combinatorial problem solving and algorithmic proof.

**MATH 4740 - Research Methods**

3 credit hours

(Same as ABAS/BIOL/GEOL/CHEM/PHYS 4740.) Prerequisite: YOED 3520. Provides secondary science and mathematics teacher candidates with the tools that scientists use to solve scientific problems. Students will use these tools in a laboratory setting, communicate findings, and understand how scientists develop new knowledge.

**MATH 4800 - Seminar in Mathematics with Technology**

3 credit hours

Prerequisite: 18 semester hours in mathematics including calculus or consent of instructor; junior or senior standing; MATH 3110. Examines and utilizes the technological tools available for doing mathematics. Emphasis on non-numerical tools such as theorem provers and algebraic manipulation systems.

**MATH 4990 - Seminar in Mathematics**

3 credit hours

Open only to Mathematics majors; normally taken during last regular semester of coursework. Required of all Mathematics majors. Offers graduating Mathematics majors a broad perspective of mathematics, mathematical activity, and problem solving in various areas of application; offers preparation for professional examinations; acquaints students with job possibilities and aids in career decisions; acquaints students with the nature of graduate study in mathematics. Pass/Fail.

## Mathematics Graduate Courses

**MATH 5010 - Concepts of Mathematics**

3 credit hours

Recommended for students preparing to become elementary school teachers. Topics include complex numbers, finite mathematical systems, linear equations and inequalities, functions and their graphs, introductory matrix algebra, interest and consumer credit, and microcomputer applications in the mathematics classroom

**MATH 5200 - Introduction to Mathematics of Investment**

3 credit hours

(Same as ACSI 5200.) Prerequisite: MATH 1920 or consent of instructor. Calculus and probability/statistics used to model and analyze investments in bonds, treasury bills, stocks, and other derivatives. Topics include obtaining the price of a bond as a function of interest rate, developing formulas for duration and convexity to study the sensitivity of price to interest rate, and mathematical modeling of investor preference and attitude toward risk.

**MATH 5270 - Introduction to Topology**

3 credit hours

Prerequisites: MATH 3110 and a previous upper-division course in which the student has been required to write proofs. Fundamental concepts of topology including continuity, compactness, connectedness, separation axioms, and metric spaces.

**MATH 5310 - Numerical Analysis I**

3 credit hours

Prerequisite: CSCI 3180 or equivalent. Application of computer-oriented numerical algorithms to algebraic equations, differential and integral equations, and linear algebra. Rigorous mathematical treatment of error included.

**MATH 5320 - Numerical Analysis II**

3 credit hours

Prerequisite: CSCI 3180 or equivalent. Application of computer-oriented numerical algorithms to algebraic equations, differential and integral equations, and linear algebra. Rigorous mathematical treatment of error included.

**MATH 5420 - Number Theory**

3 credit hours

Divisibility congruences, quadratic residues, Diophantine equations, quadratic forms, and continued fractions.

**MATH 5470 - Introduction to Modern Algebra**

3 credit hours

A treatment of sets, relations, operations, and the construction of number systems in algebra.

**MATH 5510 - Abstract Algebra I**

3 credit hours

Groups with a brief introduction to rings, integral domains, and fields.

**MATH 5530 - Abstract Algebra II**

3 credit hours

Prerequisite: MATH 4510 or MATH 5510. Theory of rings, fields, integral domains, matrices, and vector spaces.

**MATH 5600 - Problems in Contemporary Mathematics**

1 to 6 credit hours

Pass/Fail grading in specified sections.

**MATH 5620 - History and Philosophy of Mathematics**

3 credit hours

Prerequisites: Background in geometry, number theory, and/or symbolic logic helpful. The character of mathematical thought by way of mathematical problems which have occupied successively the outstanding mathematicians of Babylon, Egypt, Greece, China, the Renaissance, and modern times paralleled with a study of three schools of mathematical philosophy: intuitionism, logicism, and formalism. Open only to senior and graduate mathematics majors.

**MATH 5700 - Combinatorics and Graph Theory**

3 credit hours

Prerequisite: MATH 2010 or 3080. Selected topics in combinatorics and graph theory emphasizing combinatorial problem solving and algorithmic proof.

**MATH 6100 - Mathematics for Teachers**

3 credit hours

Mathematics as problem solving, communication, and reasoning. Connecting different fields of mathematics. Topics include number and number relationships, number systems and number theory, computation and estimation, patterns and functions, statistics and probability, algebra, geometry, measurement.

**MATH 6100 - Mathematics for Teachers**

3 credit hours

Mathematics as problem solving, communication, and reasoning. Connecting different fields of mathematics. Topics include number and number relationships, number systems and number theory, computation and estimation, patterns and functions, statistics and probability, algebra, geometry, measurement.

**MATH 6120 - Advanced Linear Algebra**

3 credit hours

Prerequisite: MATH 2010. Continuation of linear algebra topics in MATH 2010 including advanced topics in inner product spaces and structure of linear operators.

**MATH 6120 - Advanced Linear Algebra**

3 credit hours

Prerequisite: MATH 2010. Continuation of linear algebra topics in MATH 2010 including advanced topics in inner product spaces and structure of linear operators.

**MATH 6140 - Selected Topics of Modern Mathematics: Algebra**

3 credit hours

Prerequisite: MATH 5530 or consent of instructor. Extension of previous work in algebra with emphasis on topics not treated in other courses.

**MATH 6140 - Selected Topics of Modern Mathematics: Algebra**

3 credit hours

Prerequisite: MATH 5530 or consent of instructor. Extension of previous work in algebra with emphasis on topics not treated in other courses.

**MATH 6141 - Selected Topics of Modern Mathematics: Analysis**

3 credit hours

Prerequisite: MATH 6200 or consent of instructor. Extension of previous work in analysis with emphasis on topics not treated in other courses.

**MATH 6141 - Selected Topics of Modern Mathematics: Analysis**

3 credit hours

Prerequisite: MATH 6200 or consent of instructor. Extension of previous work in analysis with emphasis on topics not treated in other courses.

**MATH 6142 - Selected Topics in Modern Mathematics: Topology**

3 credit hours

Prerequisite: MATH 4270 or MATH 5270 or consent of instructor. Extension of previous work in topology with emphasis on topics not treated in other courses.

**MATH 6142 - Selected Topics in Modern Mathematics: Topology**

3 credit hours

Prerequisite: MATH 4270 or MATH 5270 or consent of instructor. Extension of previous work in topology with emphasis on topics not treated in other courses.

**MATH 6170 - Sets and Logic**

3 credit hours

Includes topics in three categories: 1) Propositions, predicates, quantifiers, truth tables, tautologies, and methods of mathematical proof including mathematical induction. 2) Sets, relations, functions, graphs, cardinality, and the Axiom of Choice. 3) Applications of these foundations to selected results in algebra and analysis as time permits. It is recommended that this course be taken early in the graduate program.

**MATH 6170 - Sets and Logic**

3 credit hours

Includes topics in three categories: 1) Propositions, predicates, quantifiers, truth tables, tautologies, and methods of mathematical proof including mathematical induction. 2) Sets, relations, functions, graphs, cardinality, and the Axiom of Choice. 3) Applications of these foundations to selected results in algebra and analysis as time permits. It is recommended that this course be taken early in the graduate program.

**MATH 6190 - Analysis I**

3 credit hours

Prerequisite: MATH 4250 or equivalent. Rigorous treatment of limits, continuity, differentiation, and integration; infinite series; introduction to metric spaces.

**MATH 6190 - Analysis I**

3 credit hours

Prerequisite: MATH 4250 or equivalent. Rigorous treatment of limits, continuity, differentiation, and integration; infinite series; introduction to metric spaces.

**MATH 6200 - Analysis II**

3 credit hours

Prerequisite: MATH 6190 or equivalent. A continuation of MATH 6190. Lebesgue measure, Lebesgue integral, functions of bounded variation.

**MATH 6200 - Analysis II**

3 credit hours

Prerequisite: MATH 6190 or equivalent. A continuation of MATH 6190. Lebesgue measure, Lebesgue integral, functions of bounded variation.

**MATH 6210 - Complex Variables**

3 credit hours

Prerequisite: MATH 6190. Theory of functions of complex variables and their application in mathematics and physics.

**MATH 6210 - Complex Variables**

3 credit hours

Prerequisite: MATH 6190. Theory of functions of complex variables and their application in mathematics and physics.

**MATH 6230 - Teaching of Introductory College Mathematics**

3 credit hours

Foundations and pertinent topics in college algebra, trigonometry, analytic geometry, and calculus with emphasis on techniques of presentation.

**MATH 6230 - Teaching of Introductory College Mathematics**

3 credit hours

Foundations and pertinent topics in college algebra, trigonometry, analytic geometry, and calculus with emphasis on techniques of presentation.

**MATH 6250 - Real Analysis**

3 credit hours

Prerequisite: MATH 6200. A continuation of MATH 6200. Advanced topics in real analysis. Abstract measure and integration theory. Introduction to functional analysis.

**MATH 6250 - Real Analysis**

3 credit hours

Prerequisite: MATH 6200. A continuation of MATH 6200. Advanced topics in real analysis. Abstract measure and integration theory. Introduction to functional analysis.

**MATH 6260 - Advanced Differential Equations I**

3 credit hours

Prerequisites: MATH 3120 and 4250. Qualitative and quantitative analysis of systems of differential equations. Gradient systems, Sturm-Liouville problems. Elementary techniques for boundary value problems of partial differential equations.

**MATH 6260 - Advanced Differential Equations I**

3 credit hours

Prerequisites: MATH 3120 and 4250. Qualitative and quantitative analysis of systems of differential equations. Gradient systems, Sturm-Liouville problems. Elementary techniques for boundary value problems of partial differential equations.

**MATH 6270 - Advanced Differential Equations II**

3 credit hours

Prerequisite: MATH 6260. Solution techniques for boundary value problems. Problems involve heat, wave, and potential equations. Topics include the method of characteristics, series solutions, integral transforms, and Green's functions.

**MATH 6270 - Advanced Differential Equations II**

3 credit hours

Prerequisite: MATH 6260. Solution techniques for boundary value problems. Problems involve heat, wave, and potential equations. Topics include the method of characteristics, series solutions, integral transforms, and Green's functions.

**MATH 6300 - Optimization**

3 credit hours

Prerequisite: MATH 5320 or consent of instructor. Constrained and unconstrained optimization problems, including the generalized least squares problem and Eigenvalue problems. Methods include orthogonalization, conjugate gradient, and quasi-Newton algorithms.

**MATH 6300 - Optimization**

3 credit hours

Prerequisite: MATH 5320 or consent of instructor. Constrained and unconstrained optimization problems, including the generalized least squares problem and Eigenvalue problems. Methods include orthogonalization, conjugate gradient, and quasi-Newton algorithms.

**MATH 6310 - Control Theory**

3 credit hours

Prerequisite: MATH 6260 or consent of instructor. Vector space applications to system analysis; observability, controllability, and stabilization of systems; feedback systems; Lyapunov methods; optimal control, and the calculus variations.

**MATH 6310 - Control Theory**

3 credit hours

Prerequisite: MATH 6260 or consent of instructor. Vector space applications to system analysis; observability, controllability, and stabilization of systems; feedback systems; Lyapunov methods; optimal control, and the calculus variations.

**MATH 6320 - Mathematical Problem Solving**

3 credit hours

Prerequisite: Permission of instructor. A basis for reflection on teaching and learning mathematics. Problem-solving strategies and heuristics. Focuses on all branches of mathematics, providing an opportunity to synthesize mathematical knowledge.

**MATH 6320 - Mathematical Problem Solving**

3 credit hours

Prerequisite: Permission of instructor. A basis for reflection on teaching and learning mathematics. Problem-solving strategies and heuristics. Focuses on all branches of mathematics, providing an opportunity to synthesize mathematical knowledge.

**MATH 6330 - Algebra from an Advanced Perspective**

3 credit hours

Prerequisite: Permission of instructor. Review and extension of algebraic skills and concepts as they relate to the teaching and learning of algebra. Focus on algebraic thinking and problem solving, algebraic systems, functions, graphing, and linear algebra.

**MATH 6330 - Algebra from an Advanced Perspective**

3 credit hours

Prerequisite: Permission of instructor. Review and extension of algebraic skills and concepts as they relate to the teaching and learning of algebra. Focus on algebraic thinking and problem solving, algebraic systems, functions, graphing, and linear algebra.

**MATH 6340 - Geometry from an Advanced Perspective**

3 credit hours

Prerequisite: Permission of instructor. Investigations into the foundations of plane, solid, and coordinate geometry, motion geometry, similarities and congruencies, measurement and the application of geometry. Instruction will model the suggested pedagogy appropriate for school mathematics.

**MATH 6340 - Geometry from an Advanced Perspective**

3 credit hours

Prerequisite: Permission of instructor. Investigations into the foundations of plane, solid, and coordinate geometry, motion geometry, similarities and congruencies, measurement and the application of geometry. Instruction will model the suggested pedagogy appropriate for school mathematics.

**MATH 6350 - Probability and Statistics from an Advanced Perspective**

3 credit hours

Prerequisite: Permission of instructor. Relation to school mathematics. Development of central tendency and variation, concepts of chance including sample space, randomness, conditional probability, and independence.

**MATH 6350 - Probability and Statistics from an Advanced Perspective**

3 credit hours

Prerequisite: Permission of instructor. Relation to school mathematics. Development of central tendency and variation, concepts of chance including sample space, randomness, conditional probability, and independence.

**MATH 6360 - Technology Tools for School Mathematics**

3 credit hours

Integrates technology into the teaching and learning process for teachers of middle and secondary school mathematics. Investigates a variety of mathematical subject matter appropriate for middle and secondary school students via technology. Lessons designed for use with a variety of technologies, including graphing calculators, dynamic geometry software, spreadsheets, authoring software, presentation software, and the World Wide Web. Highly individualized due to varying backgrounds and interests of students.

**MATH 6360 - Technology Tools for School Mathematics**

3 credit hours

Integrates technology into the teaching and learning process for teachers of middle and secondary school mathematics. Investigates a variety of mathematical subject matter appropriate for middle and secondary school students via technology. Lessons designed for use with a variety of technologies, including graphing calculators, dynamic geometry software, spreadsheets, authoring software, presentation software, and the World Wide Web. Highly individualized due to varying backgrounds and interests of students.

**MATH 6380 - Current Trends in Mathematics Education**

3 credit hours

Prerequisite: Permission of instructor. Innovative topics or critical issues related to the teaching and learning of mathematics. Includes history of mathematics education, pedagogical content knowledge, assessment and evaluation, and technologies.

**MATH 6380 - Current Trends in Mathematics Education**

3 credit hours

Prerequisite: Permission of instructor. Innovative topics or critical issues related to the teaching and learning of mathematics. Includes history of mathematics education, pedagogical content knowledge, assessment and evaluation, and technologies.

**MATH 6380 - Current Trends in Mathematics Education**

3 credit hours

Prerequisite: Permission of instructor. Innovative topics or critical issues related to the teaching and learning of mathematics. Includes history of mathematics education, pedagogical content knowledge, assessment and evaluation, and technologies.

**MATH 6400 - Advanced Geometry**

3 credit hours

Prerequisite: MATH 3070 or consent of instructor. Detailed study of one or more of the various branches of geometry including non-Euclidean geometry, projective geometry, algebraic geometry, and differential geometry.

**MATH 6400 - Advanced Geometry**

3 credit hours

Prerequisite: MATH 3070 or consent of instructor. Detailed study of one or more of the various branches of geometry including non-Euclidean geometry, projective geometry, algebraic geometry, and differential geometry.

**MATH 6400 - Advanced Geometry**

3 credit hours

Prerequisite: MATH 3070 or consent of instructor. Detailed study of one or more of the various branches of geometry including non-Euclidean geometry, projective geometry, algebraic geometry, and differential geometry.

**MATH 6510 - Advanced Algebra**

3 credit hours

Prerequisite: MATH 5530. Polynomial rings, theory of fields, vector spaces and intermediate group theory necessary for Galois theory, and Galois theory.

**MATH 6510 - Advanced Algebra**

3 credit hours

Prerequisite: MATH 5530. Polynomial rings, theory of fields, vector spaces and intermediate group theory necessary for Galois theory, and Galois theory.

**MATH 6510 - Advanced Algebra**

3 credit hours

Prerequisite: MATH 5530. Polynomial rings, theory of fields, vector spaces and intermediate group theory necessary for Galois theory, and Galois theory.

**MATH 6601 - Problems in Mathematics-Advanced Calculus**

1 to 9 credit hours

Prerequisite: Mathematical maturity, preparation in the area, and normally nine semester hours of graduate study. Problems course dealing with theory methods and applications.

**MATH 6601 - Problems in Mathematics-Advanced Calculus**

1 to 9 credit hours

Prerequisite: Mathematical maturity, preparation in the area, and normally nine semester hours of graduate study. Problems course dealing with theory methods and applications.

**MATH 6601 - Problems in Mathematics-Advanced Calculus**

1 to 9 credit hours

Prerequisite: Mathematical maturity, preparation in the area, and normally nine semester hours of graduate study. Problems course dealing with theory methods and applications.

**MATH 6602 - Problems in Mathematics-Number Theory**

1 to 9 credit hours

**MATH 6602 - Problems in Mathematics-Number Theory**

1 to 9 credit hours

**MATH 6602 - Problems in Mathematics-Number Theory**

1 to 9 credit hours

**MATH 6603 - Problems in Mathematics-Mathematics of Finance**

1 to 9 credit hours

**MATH 6603 - Problems in Mathematics-Mathematics of Finance**

1 to 9 credit hours

**MATH 6603 - Problems in Mathematics-Mathematics of Finance**

1 to 9 credit hours

**MATH 6604 - Problems in Mathematics-Mathematics of Life Contingenci**

1 to 9 credit hours

**MATH 6604 - Problems in Mathematics-Mathematics of Life Contingenci**

1 to 9 credit hours

**MATH 6604 - Problems in Mathematics-Mathematics of Life Contingenci**

1 to 9 credit hours

**MATH 6605 - Problems in Mathematics-Numerical Analysis**

1 to 9 credit hours

**MATH 6605 - Problems in Mathematics-Numerical Analysis**

1 to 9 credit hours

**MATH 6605 - Problems in Mathematics-Numerical Analysis**

1 to 9 credit hours

**MATH 6606 - Problems in Mathematics-Topology**

1 to 9 credit hours

**MATH 6606 - Problems in Mathematics-Topology**

1 to 9 credit hours

**MATH 6606 - Problems in Mathematics-Topology**

1 to 9 credit hours

**MATH 6607 - Problems in Mathematics-Abstract Algebra**

1 to 9 credit hours

**MATH 6607 - Problems in Mathematics-Abstract Algebra**

1 to 9 credit hours

**MATH 6607 - Problems in Mathematics-Abstract Algebra**

1 to 9 credit hours

**MATH 6608 - Problems in Mathematics-Combinatorics and Graph Theory**

1 to 9 credit hours

**MATH 6608 - Problems in Mathematics-Combinatorics and Graph Theory**

1 to 9 credit hours

**MATH 6608 - Problems in Mathematics-Combinatorics and Graph Theory**

1 to 9 credit hours

**MATH 6611 - Problems in Mathematics**

1 to 6 credit hours

Prerequisite: Consent of instructor. Problem-oriented course providing opportunities for mathematical study in areas of need. Pass/Fail grading.

**MATH 6611 - Problems in Mathematics**

1 to 6 credit hours

Prerequisite: Consent of instructor. Problem-oriented course providing opportunities for mathematical study in areas of need. Pass/Fail grading.

**MATH 6611 - Problems in Mathematics**

1 to 6 credit hours

Prerequisite: Consent of instructor. Problem-oriented course providing opportunities for mathematical study in areas of need. Pass/Fail grading.

**MATH 6612 - Problems in Mathematics**

1 to 6 credit hours

Prerequisite: Consent of instructor. Problem-oriented course providing opportunities for mathematical study in areas of need. Standard letter grading.

**MATH 6612 - Problems in Mathematics**

1 to 6 credit hours

Prerequisite: Consent of instructor. Problem-oriented course providing opportunities for mathematical study in areas of need. Standard letter grading.

**MATH 6612 - Problems in Mathematics**

1 to 6 credit hours

Prerequisite: Consent of instructor. Problem-oriented course providing opportunities for mathematical study in areas of need. Standard letter grading.

**MATH 6640 - Thesis Research**

1 to 6 credit hours

Selection of a research problem, review of pertinent literature, collection and analysis of data, and composition of thesis. Once enrolled, student should register for at least one credit hour of master's research each semester until completion. S/U grading.

**MATH 6640 - Thesis Research**

1 to 6 credit hours

Selection of a research problem, review of pertinent literature, collection and analysis of data, and composition of thesis. Once enrolled, student should register for at least one credit hour of master's research each semester until completion. S/U grading.

**MATH 6640 - Thesis Research**

1 to 6 credit hours

Selection of a research problem, review of pertinent literature, collection and analysis of data, and composition of thesis. Once enrolled, student should register for at least one credit hour of master's research each semester until completion. S/U grading.

**MATH 6700 - Advanced Combinatorics and Graph Theory**

3 credit hours

Prerequisite: MATH 4700/MATH 5700. Selected topics in combinatorics and graph theory extending topics studied in MATH 4700/MATH 5700.

**MATH 6700 - Advanced Combinatorics and Graph Theory**

3 credit hours

Prerequisite: MATH 4700/MATH 5700. Selected topics in combinatorics and graph theory extending topics studied in MATH 4700/MATH 5700.

**MATH 6700 - Advanced Combinatorics and Graph Theory**

3 credit hours

Prerequisite: MATH 4700/MATH 5700. Selected topics in combinatorics and graph theory extending topics studied in MATH 4700/MATH 5700.

**MATH 6900 - Research in Mathematics Education**

3 credit hours

Prerequisite: Permission of instructor. Examines factors influencing research and critical analyses of selected research in mathematics education. Studies representing different methodologies critiqued.

**MATH 6900 - Research in Mathematics Education**

3 credit hours

Prerequisite: Permission of instructor. Examines factors influencing research and critical analyses of selected research in mathematics education. Studies representing different methodologies critiqued.

**MATH 6900 - Research in Mathematics Education**

3 credit hours

Prerequisite: Permission of instructor. Examines factors influencing research and critical analyses of selected research in mathematics education. Studies representing different methodologies critiqued.

**MATH 6999 - Comprehensive Examination and Preparation**

1 credit hours

Open only to students who are not enrolled in any other graduate course and who will take the master's comprehensive examination during the term. The student must contact the graduate advisor during the first two weeks of the term for specifics regarding the details of this comprehensive examination preparatory course. Credit may not be applied to degree requirements.

**MATH 6999 - Comprehensive Examination and Preparation**

1 credit hours

Open only to students who are not enrolled in any other graduate course and who will take the master's comprehensive examination during the term. The student must contact the graduate advisor during the first two weeks of the term for specifics regarding the details of this comprehensive examination preparatory course. Credit may not be applied to degree requirements.

**MATH 6999 - Comprehensive Examination and Preparation**

1 credit hours

Open only to students who are not enrolled in any other graduate course and who will take the master's comprehensive examination during the term. The student must contact the graduate advisor during the first two weeks of the term for specifics regarding the details of this comprehensive examination preparatory course. Credit may not be applied to degree requirements.

**MATH 7060 - Independent Study**

1 to 9 credit hours

**MATH 7060 - Independent Study**

1 to 9 credit hours

**MATH 7060 - Independent Study**

1 to 9 credit hours

**MATH 7310 - Theoretical Frameworks in Mathematics Education**

3 credit hours

Focuses on how researchers utilize theoretical frameworks while conducting and reporting research in mathematics education. Attention given to prominent theoretical frameworks in mathematics education and the role of frameworks in connecting methodology and the reporting of findings in mathematics education research.

**MATH 7310 - Theoretical Frameworks in Mathematics Education**

3 credit hours

Focuses on how researchers utilize theoretical frameworks while conducting and reporting research in mathematics education. Attention given to prominent theoretical frameworks in mathematics education and the role of frameworks in connecting methodology and the reporting of findings in mathematics education research.

**MATH 7310 - Theoretical Frameworks in Mathematics Education**

3 credit hours

Focuses on how researchers utilize theoretical frameworks while conducting and reporting research in mathematics education. Attention given to prominent theoretical frameworks in mathematics education and the role of frameworks in connecting methodology and the reporting of findings in mathematics education research.

**MATH 7320 - Mathematical Problem Solving**

3 credit hours

Required of students in Mathematics Education concentration of Mathematics and Science Education Ph.D. program. Examines research on teaching and learning mathematics through problem solving as a process, problem-solving strategies and heuristics, and assessing problem solving. Focuses on all branches of mathematics providing an opportunity to synthesize mathematical knowledge.

**MATH 7320 - Mathematical Problem Solving**

3 credit hours

Required of students in Mathematics Education concentration of Mathematics and Science Education Ph.D. program. Examines research on teaching and learning mathematics through problem solving as a process, problem-solving strategies and heuristics, and assessing problem solving. Focuses on all branches of mathematics providing an opportunity to synthesize mathematical knowledge.

**MATH 7320 - Mathematical Problem Solving**

3 credit hours

Required of students in Mathematics Education concentration of Mathematics and Science Education Ph.D. program. Examines research on teaching and learning mathematics through problem solving as a process, problem-solving strategies and heuristics, and assessing problem solving. Focuses on all branches of mathematics providing an opportunity to synthesize mathematical knowledge.

**MATH 7330 - Ethics in Mathematics Education**

3 credit hours

Prerequisite: Admission to MSE program and successful completion of either MATH 6900 or MSE 7848. Focuses on the philosophical and theoretical perspectives of ethics and ethical decision making as they relate to the roles and responsibilities of teacher education and researchers in mathematics education. Ethical decision making will be applied through the teaching case method.

**MATH 7330 - Ethics in Mathematics Education**

3 credit hours

Prerequisite: Admission to MSE program and successful completion of either MATH 6900 or MSE 7848. Focuses on the philosophical and theoretical perspectives of ethics and ethical decision making as they relate to the roles and responsibilities of teacher education and researchers in mathematics education. Ethical decision making will be applied through the teaching case method.

**MATH 7330 - Ethics in Mathematics Education**

3 credit hours

Prerequisite: Admission to MSE program and successful completion of either MATH 6900 or MSE 7848. Focuses on the philosophical and theoretical perspectives of ethics and ethical decision making as they relate to the roles and responsibilities of teacher education and researchers in mathematics education. Ethical decision making will be applied through the teaching case method.

**MATH 7340 - History, Curriculum, and Policy in Mathematics Educatio**

3 credit hours

Prerequisite: Admission to MSE program. Explores the history of mathematics education with particular attention to curriculum development and policy development. Major factors that influence the development of curriculum and policy discussed.

**MATH 7340 - History, Curriculum, and Policy in Mathematics Educatio**

3 credit hours

Prerequisite: Admission to MSE program. Explores the history of mathematics education with particular attention to curriculum development and policy development. Major factors that influence the development of curriculum and policy discussed.

**MATH 7340 - History, Curriculum, and Policy in Mathematics Educatio**

3 credit hours

Prerequisite: Admission to MSE program. Explores the history of mathematics education with particular attention to curriculum development and policy development. Major factors that influence the development of curriculum and policy discussed.

**MATH 7450 - Mathematical Modeling I**

3 credit hours

Prerequisites: COMS 6100 and COMS 6500. Intense lecture and project-oriented course that covers current topics in mathematical modeling in physical and biological sciences.

**MATH 7450 - Mathematical Modeling I**

3 credit hours

Prerequisites: COMS 6100 and COMS 6500. Intense lecture and project-oriented course that covers current topics in mathematical modeling in physical and biological sciences.

**MATH 7450 - Mathematical Modeling I**

3 credit hours

Prerequisites: COMS 6100 and COMS 6500. Intense lecture and project-oriented course that covers current topics in mathematical modeling in physical and biological sciences.

**MATH 7611 - Problems in Mathematics**

1 to 6 credit hours

**MATH 7611 - Problems in Mathematics**

1 to 6 credit hours

**MATH 7611 - Problems in Mathematics**

1 to 6 credit hours

**MATH 7612 - Problems in Mathematics**

1 to 6 credit hours

**MATH 7612 - Problems in Mathematics**

1 to 6 credit hours

**MATH 7612 - Problems in Mathematics**

1 to 6 credit hours

**MATH 7640 - Dissertation Research**

1 to 6 credit hours

Selection of a research problem, review of pertinent literature, collection and analysis of data, and composition of dissertation. Once enrolled student should register for at least one credit hour of doctoral research each semester until completion. S/U grading.

**MATH 7640 - Dissertation Research**

1 to 6 credit hours

Selection of a research problem, review of pertinent literature, collection and analysis of data, and composition of dissertation. Once enrolled student should register for at least one credit hour of doctoral research each semester until completion. S/U grading.

**MATH 7640 - Dissertation Research**

1 to 6 credit hours

Selection of a research problem, review of pertinent literature, collection and analysis of data, and composition of dissertation. Once enrolled student should register for at least one credit hour of doctoral research each semester until completion. S/U grading.

**MATH 7750 - Mathematical Modeling II**

3 credit hours

Prerequisite: MATH 7450. Covers mathematical models involving partial differential equations, partial differential integral equations, multiscale modeling, and simulation in physical and biological sciences.

**MATH 7750 - Mathematical Modeling II**

3 credit hours

Prerequisite: MATH 7450. Covers mathematical models involving partial differential equations, partial differential integral equations, multiscale modeling, and simulation in physical and biological sciences.

**MATH 7750 - Mathematical Modeling II**

3 credit hours

Prerequisite: MATH 7450. Covers mathematical models involving partial differential equations, partial differential integral equations, multiscale modeling, and simulation in physical and biological sciences.

**MATH 7800 - Teaching Internship**

3 credit hours

Prerequisite: Permission of department. Admission based on recommendations and performance in teaching. Offered every term.

**MATH 7800 - Teaching Internship**

3 credit hours

Prerequisite: Permission of department. Admission based on recommendations and performance in teaching. Offered every term.

**MATH 7800 - Teaching Internship**

3 credit hours

Prerequisite: Permission of department. Admission based on recommendations and performance in teaching. Offered every term.

**MATH 7810 - Teaching Internship**

3 credit hours

**MATH 7810 - Teaching Internship**

3 credit hours

**MATH 7810 - Teaching Internship**

3 credit hours

**MATH 7900 - Teaching and Learning Mathematics**

3 credit hours

Focus on theoretical and practical issues regarding how students learn mathematics, best practices for teaching mathematics, and issues from current literature on the teaching and learning of mathematics.

**MATH 7900 - Teaching and Learning Mathematics**

3 credit hours

Focus on theoretical and practical issues regarding how students learn mathematics, best practices for teaching mathematics, and issues from current literature on the teaching and learning of mathematics.

**MATH 7900 - Teaching and Learning Mathematics**

3 credit hours

Focus on theoretical and practical issues regarding how students learn mathematics, best practices for teaching mathematics, and issues from current literature on the teaching and learning of mathematics.

## Statistics Courses

**STAT 3150 - Mathematical Statistics I**

3 credit hours

Prerequisite: Two semesters of calculus. Probability theory including basic probability laws, properties of distributions, mathematical expectation, special discrete and continuous distributions, functions of random variables, and selected applications.

**STAT 3550 - Applied Predictive Modeling**

3 credit hours)

(Same as DATA 3550.) Prerequisite: CSCI 1170. An overview of the modeling process used in data science. Covers the ethics involved in data science, data preprocessing, regression models, classification models, and presenting the model.

**STAT 4190 - Mathematical Statistics II**

3 credit hours

Prerequisite: STAT 3150 or equivalent. Theory of statistical inference. Topics include sampling distributions, decision theory, estimation, test of hypothesis, regression analysis, analysis of variance, and selected applications.

**STAT 4200 - Statistical Methods for Forecasting**

3 credit hours

Prerequisite: STAT 4190. Topics include application of regression models in forecasting and exponential smoothing methods to forecast nonseasonal time-series, seasonal series, and globally constant seasonal models; stochastic time series models; and forecast evaluation.

**STAT 4280 - Undergraduate Research**

1 to 4 credit hours

Prerequisite: Permission of department. Independent investigation of a selected research problem under the guidance of a faculty member resulting in an oral and written report of results. May be repeated for a maximum of four credits.

**STAT 4320 - Probability and Stochastic Processes**

3 credit hours

Prerequisites: Two semesters of calculus and STAT 3150 (or MATH 2050) or consent of instructor. Theoretical basis for stochastic processes and their use as models of real-world phenomena. Topics include Markov chains, Poisson processes, Brownian motion and stationary processes. Applications include Gambler's Ruin, birth and death models, hitting times, stock option pricing, and the Black-Scholes model.

**STAT 4360 - Regression Analysis**

3 credit hours

Prerequisite: MATH 2050 or equivalent. Theory and application of regression models. Approaches to model building and data analysis. Computation and interpretation of results facilitated through the use of statistical software packages.

**STAT 4370 - Nonparametric Statistics**

3 credit hours

Prerequisite: MATH 2050 or equivalent. Statistical tests that require no assertions about parameters or about the form of the population from which the samples are drawn. A wide range of practical problems studied.

**STAT 4380 - Experimental Design**

3 credit hours

Prerequisite: MATH 2050 or equivalent. Topics include one-way analysis of variances, multiple comparison, multifactor analysis of variance, and various practical issues in experimental design. Computation and interpretation of results facilitated through the use of statistical software packages.

**STAT 4600 - Problems in Statistics**

1 to 6 credit hours

Prerequisites: Senior standing and consent of instructor. Students wishing to enroll must submit a written course/topic proposal to the department prior to the semester in which STAT 4600 is taken. Proposal must be approved prior to taking the course. At the conclusion, each enrollee must submit a written report to the department.

**STAT 4700 - Analysis of Large-Scale Data Sets**

3 credit hours

The analysis and applications of large-scale data sets. Scalable machine learning and data mining applications in a practical clinical environment. Statistical software used in the application of these techniques.

## Statistics Graduate Courses

**STAT 5140 - Probabilistic and Statistical Reasoning**

3 credit hours

Prerequisite: Must be enrolled in the Master of Science in Professional Sciences program; graduate level. Focuses on probability and statistics concepts. Topics include binomial and normal probabilistic modeling; important statistical concepts such as confounding, randomization, sampling variability and significance; statistical testing of significant differences and associations; and design experiments to test research hypotheses.

**STAT 5190 - Mathematical Statistics II**

3 credit hours

Prerequisite: STAT 3150 or equivalent. Theory of statistical inference. Topics include sampling distributions, decision theory, estimation, test of hypothesis, regression analysis, analysis of variance, and selected applications.

**STAT 5200 - Statistical Methods for Forecasting**

3 credit hours

Prerequisite: STAT 4190. Application of the regression model in forecasting regression and exponential smoothing methods to forecast nonseasonal time-series, seasonal series and globally constant seasonal models, stochastic time series models; and forecast evaluation. (Offers preparation to actuarial science students for the Society of Actuaries Exam #120 and Exam Part 3A administered by the Casualty Actuarial Society.)

**STAT 5320 - Probability and Stochastic Processes**

3 credit hours

Prerequisite: Two semesters of calculus and STAT 3150 (or MATH 2050) or consent of instructor. Theoretical basis for stochastic processes and use as models of real-world phenomena. Topics include Markov chains, Poisson processes, and Brownian motion and stationary processes. Applications include Gambler's Ruin, birth and death models, hitting times, stock option pricing, and the Black-Scholes model.

**STAT 5360 - Regression Analysis**

3 credit hours

Prerequisites: MATH 2050 and STAT 3150 or equivalent. Theory and application of regression models. Approaches to model building and data analysis treated. Computation and interpretation of results facilitated through use of statistical software packages.

**STAT 5370 - Nonparametric Statistics**

3 credit hours

Prerequisite: STAT 3150 or equivalent. Statistical tests that require no assertions about parameters or about the form of the population from which the samples are drawn. A wide range of practical problems.

**STAT 5380 - Experimental Design**

3 credit hours

Prerequisite: STAT 3150 or equivalent. Topics include one-way analysis of variance, multiple comparison, multifactor analysis of variance, and various practical issues in experimental design. Computation and interpretation of results are facilitated through the use of statistical software packages.

**STAT 5600 - Problems in Statistics**

1 to 6 credit hours

Prerequisite: Senior standing and consent of instructor. Students wishing to enroll must submit a written course/topic proposal to the department prior to the semester in which STAT 5600 is taken. Proposal must be approved prior to student taking the course. At the conclusion of the course, each enrollee must submit a written report to the department.

**STAT 6020 - Introduction to Biostatistics**

3 credit hours

Prerequisite: Introductory probability/statistics course or permission of instructor. Contemporary and medical research methodology for biostatistics. Descriptive and inferential statistics including parametric and nonparametric hypothesis testing methods, sample size, statistical significance and power, survival curve analysis, relative risk, odds ratios, chi square modeling, and analysis of variance. Data will be analyzed using statistical software.

**STAT 6160 - Advanced Mathematical Statistics I**

3 credit hours

Prerequisite: Two semesters of calculus or permission of instructor. Introduction to theoretical probability used in statistics with an emphasis on the mathematical theory. A rigorous treatment of random variables, their probability distributions, and mathematical exceptions in a univariate and multivariate setting. Includes conditional probabilities, stochastic independence, sampling theory, and limit laws.

**STAT 6180 - Advanced Mathematical Statistics II**

3 credit hours

Prerequisite: STAT 6160 or permission of instructor. Theory of estimation and hypothesis tests. Topics include minimum variance unbiased estimation, methods of estimation, most powerful tests, likelihood ratio tests, decision theory, and sequential test procedures.

**STAT 6510 - Biostatistical Methods**

3 credit hours

Prerequisite: STAT 6020 or permission of instructor. Biostatistical methods focusing on the design and analysis of clinical trials and sample surveys. Topics include clinical trial designs and phases, bias, random error, sample size, power, estimating clinical effects, design-based methods of data analysis from sample surveys, sampling techniques, nonresponse, and sampling frame issues.

**STAT 6520 - Advanced Biostatistical Methods**

3 credit hours

Prerequisites: STAT 6020 and STAT 6160 or permission of instructor. Mathematically rigorous presentation of categorical data analysis methods for univariate and correlated multivariate responses including contingency table analysis, logistic regression, and loglinear models; survival analysis for analyzing time-to-event data including survivor functions, Kaplan-Meier curves, and Cox proportional hazards model; and other health applications of multivariate analysis methods.

**STAT 6600 - Problems in Statistics**

3 credit hours

Prerequisite: Mathematical maturity, preparation in the area and (normally) nine semester hours of graduate study. Problems course dealing with theory, methods, and applications.

**STAT 6601 - Problems in Statistics-Mathematical Statistics**

3 credit hours

Prerequisite: Mathematical maturity, preparation in the area and (normally) nine semester hours of graduate study. Problems course dealing with theory, methods, and applications.

**STAT 6602 - Problems in Statistics-Regression Analysis**

3 credit hours

Prerequisite: Mathematical maturity, preparation in the area and (normally) nine semester hours of graduate study. Problems course dealing with theory, methods, and applications.

**STAT 6603 - Problems in Statistics-Nonparametric Statistics**

3 credit hours

**STAT 6604 - Problems in Statistics-Experimental Design**

3 credit hours

**STAT 6605 - Problems in Statistics-SAS Programming**

1 to 9 credit hours

**STAT 7020 - Introduction to Biostatistics**

3 credit hours

Introductory probability/statistics course or permission of instructor. Contemporary and medical research methodology for biostatistics. Descriptive and inferential statistics including parametric and nonparametric hypothesis testing methods, sample size, statistical significance and power, survival curve analysis, relative risk, odds ratios, chi square modeling, and analysis of variance. Data will be analyzed using statistical software. Applied biostatistics research project required (7000) level.

**STAT 7400 - Computational Statistics**

3 credit hours

Prerequisites: COMS 6100 and STAT 5140 or equivalent. Statistical visualization and other computationally intensive methods. The role of computation as a fundamental tool of discovery in data analysis, statistical inference, and development of statistical theory and methods. Monte Carlo studies in statistics, computational inference, tools for identification of structure in data, numerical methods in statistics, estimation of functions (orthogonal polynomials, splines, etc.), statistical models, graphical methods, data fitting and data mining, and machine learning techniques.

**STAT 7600 - Problems in Statistics**

1 to 9 credit hours

Prerequisite: Permission of instructor, mathematical maturity, preparation in the area, and (normally) nine semester hours of graduate study. Problems course dealing with theory, methods, and applications.

**STAT 7601 - Problems in Statistics-Mathematical Statistics**

1 to 9 credit hours

Prerequisite: Permission of instructor, mathematical maturity, preparation in the area, and (normally) nine semester hours of graduate study. Problems course dealing with theory, methods, and applications.

**STAT 7602 - Problems in Statistics: Regression Analysis**

1 to 9 credit hours

Prerequisite: Permission of instructor, mathematical maturity, preparation in the area, and (normally) nine semester hours of graduate study. Problems course dealing with theory, methods, and applications.

**STAT 7603 - Problems in Statistics: Nonparametric Statistics**

1 to 9 credit hours

**STAT 7604 - Problems in Statistics: Experimental Design**

1 to 9 credit hours

**STAT 7605 - Problems in Statistics: SAS Programming**

1 to 9 credit hours

**STAT 7800 - Teaching Internship**

3 credit hours

**STAT 7810 - Teaching Internship**

3 credit hours

## Actuarial Science Courses

**ACSI 4140 - Mathematical Foundations of Actuarial Science**

3 credit hours

Prerequisites: MATH 3110 and STAT 3150 or consent of instructor. Integrates calculus, probability, and risk management topics into fundamental tools for assessing risk in an actuarial environment. Calculus and probability topics include derivatives, integrals, partials, random variables, distributions, and conditional probability. Risk topics include frequency and severity. Insurance concepts such as retention, deductible, coinsurance, and risk premiums.

**ACSI 4200 - Introduction to Mathematics of Investment**

3 credit hours

(Same as MATH 4200.) Prerequisite: MATH 1920 or consent of instructor. Calculus and probability/statistics used to model and analyze investments in bonds, treasury bills, stocks, and other derivatives. Topics include obtaining the price of a bond as a function of interest rate, developing formulas for duration and convexity to study the sensitivity of price to interest rate, and mathematical modeling of investor preference and attitude toward risk.

**ACSI 4220 - Mathematics of Pricing Theory**

3 credit hours

Prerequisites: ACSI 4200/MATH 4200 and ECON 2410, ECON 2420; or consent of instructor. Applies calculus and theory of interest tools to intermediate topics in microeconomics. Topics include mathematics of supply, demand, and equilibrium; prices, costs, and the gains from trade; consumer behavior; elasticities; competition; monopoly; market power, collusion, and oligopoly; the mathematics of risk and uncertainty; and surplus economics. For students in Actuarial Science, a preparatory course for a Society of Actuaries/Casualty Actuarial Society VEE (validation by educational experience) course.

**ACSI 4230 - Mathematics of Compound Interest**

3 credit hours

Prerequisite: ACSI 4200/MATH 4200 or consent of instructor. Topics include measurement of interest (including accumulated and present value factors), annuities certain, yield rates, amortization schedules, sinking funds, and bonds and related securities.

**ACSI 4240 - Mathematics of Interest Theory, Economics and Finance**

3 credit hours

Prerequisite: ACSI 4230 or consent of instructor. Applies calculus and theory of interest tools to intermediate topics in microeconomics and macroeconomics and topics in finance. Topics include pricing activities, the simplified Keynesian model, interest and discount rates, valuation of payment streams, yield rates, amortization, cash flows and internal rate of return, stock and bond valuation, portfolio risks, the Capital Asset Pricing Model (CAPM), efficient markets, capital structure, leverage, financial performance measurement, and basic option pricing and the Black-Scholes model.

**ACSI 4280 - Undergraduate Research**

1 to 4 credit hours

Prerequisite: Permission of department. Independent investigation of a selected research problem under the guidance of a faculty member resulting in an oral and written report of results. May be repeated for a maximum of four credits.

**ACSI 4330 - Actuarial Mathematics I**

3 credit hours

Prerequisites: ACSI 4230 and STAT 4190; or consent of instructor. Concepts and models for long-term actuarial mathematics. Topics include survival distributions and life tables, life insurance, life annuities, and net premiums.

**ACSI 4340 - Actuarial Mathematics II**

3 credit hours

Prerequisite: ACSI 4330. Concepts and models for long-term actuarial mathematics. Topics chosen from net premium reserves, multiple life functions, multiple decrement models, multiple state models, Markov chain and Markov process models, valuation theory and pension plans, and insurance models (including expenses and nonforfeiture benefits and dividends).

**ACSI 4530 - Rate Making and Loss Reserving**

3 credit hours

Prerequisite: ACSI 4200 or the consent of the instructor. Topics include the introduction of the daily work as a P&C actuary in rate making and loss reserving, summarizing loss run data, compiling of loss triangles, computing loss development factors, incurred method, paid method, case method, Bornhuetter-Ferguson method, trend losses, rate making on losses and exposure, IBNR reserving, make loss payments plan, reporting and communication of analysis results.

**ACSI 4600 - Problems in Actuarial Science**

1 to 6 credit hours

Prerequisites: Senior standing and consent of instructor. Students wishing to enroll must submit a written course/topic proposal to the department prior to the semester in which ACSI 4600 is taken. Proposal must be approved prior to taking the course. At the conclusion, each enrollee must submit a written report to the department.

**ACSI 4630 - Mathematics of Risk Management**

3 credit hours

Prerequisite: ACSI 4200/MATH 4200.Topics chosen from mathematical modeling of volatility; pricing of bonds and stocks; duration and convexity; asset/liability management; forward contract, future contract, options; spreads, collars and other hedging strategies; option pricing models, Black-Scholes formula, Greeks, Delta hedge, Delta-Gamma hedge; hedge portfolio and hedge ratio.

**ACSI 4640 - Mathematics of Options, Futures, and Other Derivatives**

3 credit hours

Prerequisites: ACSI 4630 and ACSI 4200/MATH 4200. Topics chosen from lognormal model; Black-Scholes equation; volatility; risk neutral pricing; simulation; interest rate models; pricing of bonds, option on bonds, interest rate caps, and other interest rate derivatives.

## Actuarial Science Graduate Courses

**ACSI 5140 - Mathematical Foundations of Actuarial Science**

3 credit hours

Prerequisites: ACSI/MATH 3020 (or MATH 3110) and STAT 3150 or consent of instructor. A preparatory course for the Society of Actuaries/Casualty Actuarial Society Course/Exam 1. Integrates calculus, probability, and risk management topics into fundamental tools for assessing risk in an actuarial environment. Calculus and probability topics include derivatives, integrals, partials, random variables, distributions, and conditional probability. Risk topics include frequency and severity. Insurance concepts such as retention, deductible, coinsurance, and risk premium.

**ACSI 5200 - Introduction to Mathematics of Investment**

3 credit hours

(Same as MATH 5200.) Prerequisite: MATH 1920 or consent of instructor. Calculus and probability/statistics used to model and analyze investments in bonds, treasury bills, stocks, and other derivatives. Topics include obtaining the price of a bond as a function of interest rate, developing formulas for duration and convexity to study the sensitivity of price to interest rate, and mathematical modeling of investor preference and attitude toward risk.

**ACSI 5220 - Mathematics of Corporation Finance**

3 credit hours

Prerequisites: ACSI/MATH 4200/ACSI 5200/MATH 5200 and ECON 2410, 2420, or consent of instructor. A preparatory course for the Society of Actuaries/Casualty Actuarial Society Course/Exam 2. Applies calculus and theory of interest tools to intermediate topics in microeconomics. Topics include the mathematics of supply, demand, and equilibrium; prices, costs, and the gains from trade; consumer behavior; elasticities; competition; monopoly; market power, collusion, and oligopoly; the mathematics of risk and uncertainty; and surplus economics.

**ACSI 5230 - Mathematics of Compound Interest**

3 credit hours

Prerequisite: ACSI/MATH 4200/ACSI 5200/MATH 5200 or consent of instructor. A preparatory course for the Society of Actuaries/Casualty Actuarial Society Course/Exam 2. Topics include measurement of interest (including accumulating and present value factors), annuities certain, yield rates, amortization schedules, sinking funds, and bonds and related securities.

**ACSI 5240 - Mathematics of Interest Theory, Economics, and Finance**

3 credit hours

Prerequisites: ACSI 4230/ACSI 5230 or consent of instructor. A preparatory course for the Society of Actuaries/Casualty Actuarial Society Course/Exam 2. Applies calculus and theory of interest tools to intermediate topics in microeconomics and macroeconomics and topics in finance. Topics include pricing activities, the simplified Keynesian model, interest and discount rates, valuation of payment streams, yield rates, amortization, cash flows and internal rate of return, stock and bond valuation, portfolio risks, the Capital Asset Pricing Model (CAPM), efficient markets, capital structure, leverage, financial performance measurement, and basic option pricing and the Black-Scholes model.

**ACSI 5330 - Actuarial Mathematics I**

3 credit hours

Prerequisites: ACSI 4230/ACSI 5230 and STAT 4190 or consent of instructor. First of a two-semester sequence; a preparatory course for the Society of Actuaries/Casualty Actuarial Society Course/Exam 3. Topics include survival distributions and life tables, life insurance, life annuities, and net premiums.

**ACSI 5340 - Actuarial Mathematics II**

3 credit hours

Prerequisite: ACSI 4230/ACSI 5230 and STAT 4190 or consent of instructor. Second of a two-semester sequence; a preparatory course for the Society of Actuaries/Casualty Actuarial Society Course/Exam 3. Topics chosen from net premium reserves, multiple life functions, multiple decrement models, valuation theory and pension plans, and insurance models (including expenses and nonforfeiture benefits and dividends).

**ACSI 5600 - Problems in Actuarial Science**

1 to 6 credit hours

Prerequisite: Consent of instructor. Students wishing to enroll must submit a written course/topic proposal to the department prior to the semester in which ACSI 5600 is taken. The proposal must be approved prior to student taking the course. At the conclusion of this course, each enrollee must submit a written report to the department.

**ACSI 5630 - Mathematics of Risk Management**

3 credit hours

Prerequisite: ACSI/MATH 4200/ACSI 5200/MATH 5200. A preparatory course for the Society of Actuaries Course 6. Topics include mathematical modeling of volatility; pricing of bonds, stocks, and other derivatives with uncertainty; benchmark portfolios; asset/liability management for property/casualty insurers; liability associated with a financially distressed company. Heath-Jarrow-Morton and Cox-Ingersoll-Ross models studied.

**ACSI 5640 - Mathematics of Options, Futures, and Other Derivatives**

3 credit hours

Prerequisites: ACSI/MATH 4630/ACSI 5630/5630 and 4200/ACSI 5200/MATH 5200. A preparatory course for the Society of Actuaries Course 6. Topics include risk management using options, interest rate swaps, interest rate caps, Black-Scholes analysis, Taylor series expansion to obtain hedge parameters, portfolio insurance, numerical procedures, interest rate derivatives, and use of Black's model.

**ACSI 6010 - Credibility Theory and Loss Distributions**

3 credit hours

Prerequisite: STAT 5190 or consent of instructor. A preparatory course for Exam Part 4B of the Casualty Actuarial Society. Topics include Bayes Theorem and its relationship to credibility theory and analysis of statistical distributions for modeling insurance claims by size.

**ACSI 6020 - Construction and Evaluation of Actuarial Models**

3 credit hours

Prerequisite: STAT 5140 or permission of instructor. Introduces modeling and covers important actuarial methods useful in modeling. Assumes a thorough knowledge of calculus, probability, and mathematical statistics. Serves as a preparatory course for the Society of Actuaries/Casualty Actuarial Society Course-C/Exam 4. Topics include construction of empirical models, construction and selection of parameter models, credibility, interpolation and smoothing, and simulation.

**ACSI 6030 - Actuarial Models for Life Contingencies**

3 credit hours

Prerequisites: STAT 3150 and ACSI 4230 or permission of instructor. A preparatory course for Exam-MLC (Exam-3L) for the Society of Actuaries (Casualty Actuarial Society). Topics include survival distributions, life tables, life insurance, life annuities, and pensions, premiums and reserves, multiple lives, multiple decrements, models including expenses.

**ACSI 6040 - Actuarial Models for Financial Economics**

3 credit hours

Prerequisite: ACSI 4200 or equivalent. A preparatory course for Exam-MFE (Exam-3F) for the Society of Actuaries (Casualty Actuarial Society). Topics include applications of stochastic processes to actuarial models, Poisson process, Markov process, interest rate models, arbitrage free models, valuation of derivative securities, financial risk management.

**ACSI 6110 - Predictive Analysis**

3 credit hours

Prerequisite: ACSI 5140 or consent of instructor. Topics include generalized linear models, logistic regression, discriminant analysis, support vector machines, ridge regression, lasso, sparse modeling, variable selection, model selection, and other selected topics from computational statistics, machine learning, and data mining.

**ACSI 6600 - Problems in Actuarial Science**

1 to 6 credit hours

Prerequisites: Mathematical maturity, preparation in actuarial science (normally nine semester hours of graduate study in actuarial science), and consent of instructor. Students wishing to enroll must select a topic in actuarial science prior to the semester in which ACSI 6600 is taken. Topics include, but are not limited to, applications of principles of actuarial mathematics to group and health insurance, retirement benefits, quantitative risk management, rate making, statistical methods in actuarial data analysis, interest rate models and their applications. Students must submit a written report. Course may be taken up to two times provided that the projects are completely different. Credits may total 1-12 hours.Credit will be based on the difficulty and complexity of the project as determined by the instructor. Pass/Fail grading.

**ACSI 6910 - Internship in Actuarial Science**

3 credit hours

Prerequisites: Major in actuarial science; approval of program director; a plan of activities with the associated firm prior to registration. Practical experience in a specific area of actuarial industry for 250 hours. Pass/Fail.

**MTSU Department of Mathematical Sciences**MTSU BOX 34

Murfreesboro, Tennessee 37132

Phone: (615) 898-2669

Fax: (615) 898-5422

**Mathematics Whiteboard Contest**

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